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2 years ago

One batch of walnut muffins uses 1 1/3 cups of walnuts. How many cups of

Mathematics

1 answer:

natali 33 [55]2 years ago

8 0

Answer:

5 cups

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Suppose you had to find 4 x 57. How are the expanded algorithm and the standard algorithm alike? And how are they different?

Nookie1986 [14]

The expanded algorithm is given as follows:

4 x 57 = (4 x 50) + (4 x 7) = 200 + 28 = 228

The standard algorithm is given as follows:

$\ \ \ \ \ \ {_2}\\{ \ \ \ \ \ \ 5 \ 7} \\ \times \ \ \ \ \ 4 \\ = \overline{\underline{2\ 2\ 8}}$

4 0

3 years ago

G(x) = x4 − 4x2 + 7x − 8?

blagie [28]

Answer:

to put in the value of any variable in this equation(for example 2 ) we will write it as

g(2) = 4(2) - 4(2)^2 + 7(2) -8

g(2) = 8 - 16 + 14 - 8

g(2) = -2

Step-by-step explanation:

5 0

3 years ago

You want $5000 4 years from nowfor a down payment for a car. How much money must be deposited monetly into an account earning 4.

timama [110]

Answer:

$95.5090 must be deposited monthly

Step-by-step explanation:

From the information given:

The annual interest rate (r) = 4.2% = 0.042

Let assume that an amount Y is deposited, then after one month, it will increase to:

$Y ( 1+ \dfrac{0.042}{12})$

The total amount after 4 years will be:

$= Y ( 1+ \dfrac{0.042}{12})^{48}+Y ( 1+ \dfrac{0.042}{12})^{47} +Y ( 1+ \dfrac{0.042}{12})^{46} +...+ Y ( 1+ \dfrac{0.042}{12})$

$= Y ( 1.0035)^{48}+Y ( 1.0035)^{47} +Y( 1.0035)^{46} +...+ Y( 1.0035)$

Using the sum of a geometric progression:

$= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{(1.0035-1)}$

$= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{0.0035}$

The above amount is then equal to $5000

i.e

$= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{0.0035} = 5000$

$Y = \dfrac{5000\times 0.0035}{(1.0035)(1.0035^{48}-1)} \\ \\ \mathbf{Y = \$95.5090}$

8 0

3 years ago

The fuel capacity of a popular hybrid car is 11.9 gallons. The function for this situation is f(x) = -0.02x + 11.9, where x repr

Alla [95]

Answer:

-0.02 gallons per mile

Step-by-step explanation:

You're in luck. The fuel consumption of the car is linear, and the slope - ie, the coefficent of the x term gives you the rate of change. In this case, it's -0.02 gallons per mile.

6 0

3 years ago

Question 3 of 8

erastova [34]

Answer:

A. and C.

Step-by-step explanation:

We don't know the area of the roof or the number of people in the group so they would both be represented by variables in an equation.

6 0

3 years ago